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Work required for Polytropic Compression Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work_for_Polytropic_Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1))
Wpoly = (((n)/(n-1))*(m*R*Tin)*((P2/P1)^((n-1)/(n))-1))
This formula uses 6 Variables
Variables Used
Polytropic Index for Compression- Polytropic Index for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.
Mass for Compression - Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter. (Measured in Kilogram)
Specific gas constant - The specific gas constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture. (Measured in Joule per Kilogram per K)
Input temperature - Input temperature is the degree or intensity of heat present in the system. (Measured in Kelvin)
Pressure 2 - Pressure 2 is the pressure at give point 2. (Measured in Bar)
Pressure 1 - Pressure 1 is the pressure at give point 1. (Measured in Bar)
STEP 1: Convert Input(s) to Base Unit
Polytropic Index for Compression: 1.2 --> No Conversion Required
Mass for Compression: 1 Kilogram --> 1 Kilogram No Conversion Required
Specific gas constant: 286.7056 Joule per Kilogram per K --> 286.7056 Joule per Kilogram per K No Conversion Required
Input temperature: 200 Kelvin --> 200 Kelvin No Conversion Required
Pressure 2: 5 Bar --> 500000 Pascal (Check conversion here)
Pressure 1: 1 Bar --> 100000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wpoly = (((n)/(n-1))*(m*R*Tin)*((P2/P1)^((n-1)/(n))-1)) --> (((1.2)/(1.2-1))*(1*286.7056*200)*((500000/100000)^((1.2-1)/(1.2))-1))
Evaluating ... ...
Wpoly = 105849.581085976
STEP 3: Convert Result to Output's Unit
105849.581085976 Joule --> No Conversion Required
FINAL ANSWER
105849.581085976 Joule <-- Work required for Polytropic Compression
(Calculation completed in 00.016 seconds)

3 Plant Engineering Calculators

Work required for Polytropic Compression
Work_for_Polytropic_Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)) Go
Work required for Isentropic Compression
Work_for_Isentropic_Process = (((Specific Heat Ratio)/(Specific Heat Ratio-1))*(Mass*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Specific Heat Ratio-1)/(Specific Heat Ratio))-1)) Go
Work required for Isothermal Compression
Work_for_Isothermal_Compression = 2.3*(Mass for Compression*Specific gas constant*Input temperature)*log10(Pressure 2/Pressure 1) Go

Work required for Polytropic Compression Formula

Work_for_Polytropic_Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1))
Wpoly = (((n)/(n-1))*(m*R*Tin)*((P2/P1)^((n-1)/(n))-1))

What is Polytropic ?

Polytropic was originally coined to describe any reversible process on any open or closed system of gas or vapor which involves both heat and work transfer, such that a specified combination of properties were maintained constant throughout the process.

How to Calculate Work required for Polytropic Compression?

Work required for Polytropic Compression calculator uses Work_for_Polytropic_Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)) to calculate the Work required for Polytropic Compression, The Work required for Polytropic Compression formula is defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant. Work required for Polytropic Compression is denoted by Wpoly symbol.

How to calculate Work required for Polytropic Compression using this online calculator? To use this online calculator for Work required for Polytropic Compression, enter Polytropic Index for Compression (n), Mass for Compression (m), Specific gas constant (R), Input temperature (Tin), Pressure 2 (P2) & Pressure 1 (P1) and hit the calculate button. Here is how the Work required for Polytropic Compression calculation can be explained with given input values -> 105849.6 = (((1.2)/(1.2-1))*(1*286.7056*200)*((500000/100000)^((1.2-1)/(1.2))-1)).

FAQ

What is Work required for Polytropic Compression?
The Work required for Polytropic Compression formula is defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant and is represented as Wpoly = (((n)/(n-1))*(m*R*Tin)*((P2/P1)^((n-1)/(n))-1)) or Work_for_Polytropic_Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)). Polytropic Index for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index, Mass for Compression, in physics, quantitative measure of inertia, a fundamental property of all matter, The specific gas constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture, Input temperature is the degree or intensity of heat present in the system, Pressure 2 is the pressure at give point 2 & Pressure 1 is the pressure at give point 1.
How to calculate Work required for Polytropic Compression?
The Work required for Polytropic Compression formula is defined as the process in which heat absorbed by the gas due to unit rise in temperature is constant is calculated using Work_for_Polytropic_Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1)). To calculate Work required for Polytropic Compression, you need Polytropic Index for Compression (n), Mass for Compression (m), Specific gas constant (R), Input temperature (Tin), Pressure 2 (P2) & Pressure 1 (P1). With our tool, you need to enter the respective value for Polytropic Index for Compression, Mass for Compression, Specific gas constant, Input temperature, Pressure 2 & Pressure 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Work required for Polytropic Compression?
In this formula, Work required for Polytropic Compression uses Polytropic Index for Compression, Mass for Compression, Specific gas constant, Input temperature, Pressure 2 & Pressure 1. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Work_for_Isentropic_Process = (((Specific Heat Ratio)/(Specific Heat Ratio-1))*(Mass*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Specific Heat Ratio-1)/(Specific Heat Ratio))-1))
  • Work_for_Isothermal_Compression = 2.3*(Mass for Compression*Specific gas constant*Input temperature)*log10(Pressure 2/Pressure 1)
  • Work_for_Polytropic_Compression = (((Polytropic Index for Compression)/(Polytropic Index for Compression-1))*(Mass for Compression*Specific gas constant*Input temperature)*((Pressure 2/Pressure 1)^((Polytropic Index for Compression-1)/(Polytropic Index for Compression))-1))
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